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Lecture notes on classical and quantum non-Markovianity.

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Τίτλος: Lecture notes on classical and quantum non-Markovianity.
Συγγραφείς: Pleasance, Graeme1,2 (AUTHOR) gpleasance1@gmail.com
Πηγή: Canadian Journal of Physics. 8/4/2026, Vol. 104, p1-20. 20p.
Θεματικοί όροι: *Markov processes, *Stochastic matrices, *Quantum information theory, *Equations, *Quantum correlations
Περίληψη: The study of non-Markovian quantum processes has attracted significant interest in recent decades, giving rise to several competing notions of quantum non-Markovianity. These notes serve as an introduction to the topic for graduate students familiar with quantum mechanics and probability theory. Owing to the vastness of the literature, we focus on two prominent characterizations of quantum Markovianity based on the divisibility of quantum channels and monotonically decreasing state distinguishability. The correspondence between classical concepts (stochastic matrices, Chapman–Kolmogorov equation) and their quantum analogs (dynamical maps, completely positive-divisibility) is emphasized throughout. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Data: Lecture notes on classical and quantum non-Markovianity.
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  Data: <searchLink fieldCode="AR" term="%22Pleasance%2C+Graeme%22">Pleasance, Graeme</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> gpleasance1@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Canadian+Journal+of+Physics%22">Canadian Journal of Physics</searchLink>. 8/4/2026, Vol. 104, p1-20. 20p.
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  Data: *<searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br />*<searchLink fieldCode="DE" term="%22Stochastic+matrices%22">Stochastic matrices</searchLink><br />*<searchLink fieldCode="DE" term="%22Quantum+information+theory%22">Quantum information theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Quantum+correlations%22">Quantum correlations</searchLink>
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  Data: The study of non-Markovian quantum processes has attracted significant interest in recent decades, giving rise to several competing notions of quantum non-Markovianity. These notes serve as an introduction to the topic for graduate students familiar with quantum mechanics and probability theory. Owing to the vastness of the literature, we focus on two prominent characterizations of quantum Markovianity based on the divisibility of quantum channels and monotonically decreasing state distinguishability. The correspondence between classical concepts (stochastic matrices, Chapman–Kolmogorov equation) and their quantum analogs (dynamical maps, completely positive-divisibility) is emphasized throughout. [ABSTRACT FROM AUTHOR]
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    Identifiers:
      – Type: doi
        Value: 10.1139/cjp-2026-0130
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 20
        StartPage: 1
    Subjects:
      – SubjectFull: Markov processes
        Type: general
      – SubjectFull: Stochastic matrices
        Type: general
      – SubjectFull: Quantum information theory
        Type: general
      – SubjectFull: Equations
        Type: general
      – SubjectFull: Quantum correlations
        Type: general
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      – TitleFull: Lecture notes on classical and quantum non-Markovianity.
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            – D: 04
              M: 08
              Text: 8/4/2026
              Type: published
              Y: 2026
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              Value: 104
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